Objects A and B are at the origin. If object A moves to $(- 3, 1)$ $(-3 ,1 )$ and object B moves to $(12, 3)$ $(12 ,3 )$ over $3 s$ $3 s$ , what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.

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Objects A and B are at the origin. If object A moves to $(- 3, 1)$ $(-3 ,1 )$ and object B moves to $(12, 3)$ $(12 ,3 )$ over $3 s$ $3 s$ , what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.

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Answer 1 · 2016-03-12T12:18:01

$= \frac{1}{3} (15 ˆ i + 2 ˆ j) m s^{- 1}$ $=1/3(15hati+2hatj)ms^-1$

Explanation:

Velocity vector of A = ${\to V}_{A} = \frac{{\to r}_{A}}{t} = \frac{1}{3} (- 3 ˆ i + ˆ j) m s^{- 1}$ $vecV_A=vecr_A/t=1/3(-3hati+hatj)ms^-1$
Velocity vector of B = ${\to V}_{B} = \frac{{\to r}_{B}}{t} = \frac{1}{3} (12 ˆ i + 3 ˆ j) m s^{- 1}$ $vecV_B=vecr_B/t=1/3(12hati+3hatj)ms^-1$
Hence relative velocity of B from the perspective of A is
${\to V}_{B A} = {\to V}_{B} - {\to V}_{A} = \frac{1}{3} (15 ˆ i + 2 ˆ j) m s^{- 1}$ $vecV_(BA)=vecV_B-vecV_A=1/3(15hati+2hatj)ms^-1$

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Objects A and B are at the origin. If object A moves to $(- 3, 1)$ $(-3 ,1 )$ and object B moves to $(12, 3)$ $(12 ,3 )$ over $3 s$ $3 s$ , what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.

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Objects A and B are at the origin. If object A moves to (-3 ,1 )(−3,1)(-3 ,1 ) and object B moves to (12 ,3 )(12,3)(12 ,3 ) over 3 s3s3 s, what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.

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Objects A and B are at the origin. If object A moves to $(- 3, 1)$ $(-3 ,1 )$ and object B moves to $(12, 3)$ $(12 ,3 )$ over $3 s$ $3 s$ , what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.